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Finding the Third Proportional to 362,020.64 and 780,971.63

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Solution

The third proportional to 362,020.64 and 780,971.63 is: 1,684,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,020.64 : 780,971.63 = 780,971.63 : x
  2. Step 2: Convert to fraction form
    362,020.64/780,971.63 = 780,971.63/x
  3. Step 3: Cross multiply
    362,020.64x = 780,971.63 × 780,971.63
  4. Step 4: Simplify right side
    362,020.64x = 609,916,679,055.14
  5. Step 5: Solve for x
    x = 609,916,679,055.14/362,020.64
  6. Step 6: Final answer
    x = 1,684,756.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.